# Real Analysis : Arctan X

Show that arctan x<x for all x>0. (Hint: Look at the function f(x)= x - arctanx.)

Â© BrainMass Inc. brainmass.com March 4, 2021, 6:08 pm ad1c9bdddfhttps://brainmass.com/math/real-analysis/real-analysis-arctan-31015

#### Solution Preview

Please see the attached file for the complete solution.

Thanks for using BrainMass.

Proof. ...

#### Solution Summary

It is shown that arctan x<x for all x>0. The solution is detailed and well presented. The response received a rating of "5" from the student who posted the question.

$2.19